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Sending End Angle using Sending End Power (STL) Formula

GoSending End Angle using Receiving End Parameters (STL) Formula

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Sending End Phase Angle is the difference between the phasors of current and voltage at thee sending end of a short transmission line. Check FAQs

Φ s = a \cos (\frac{P s}{V s \cdot I s \cdot 3})

Φ_s - Sending End Phase Angle?P_s - Sending End Power?V_s - Sending End Voltage?I_s - Sending End Current?

Sending End Angle using Sending End Power (STL) Example

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Here is how the Sending End Angle using Sending End Power (STL) equation looks like with Values.

Here is how the Sending End Angle using Sending End Power (STL) equation looks like with Units.

Here is how the Sending End Angle using Sending End Power (STL) equation looks like.

30.0033 = a \cos (\frac{4136}{400 \cdot 3.98 \cdot 3})

30.0033° = a \cos (\frac{4136W}{400V \cdot 3.98A \cdot 3})

30.0033 = a \cos (\frac{4136}{400 \cdot 3.98 \cdot 3})

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Sending End Angle using Sending End Power (STL) Solution

Follow our step by step solution on how to calculate Sending End Angle using Sending End Power (STL)?

FIRST Step Consider the formula

Φ s = a \cos (\frac{P s}{V s \cdot I s \cdot 3})

Next Step Substitute values of Variables

∴

Φ s = a \cos (\frac{4136W}{400V \cdot 3.98A \cdot 3})

Next Step Prepare to Evaluate

∴

Φ s = a \cos (\frac{4136}{400 \cdot 3.98 \cdot 3})

Next Step Evaluate

∴

Φ s = 0.52365628047093rad

Next Step Convert to Output's Unit

∴

Φ s = 30.0032947865089°

LAST Step Rounding Answer

∴

Φ s = 30.0033°

Sending End Angle using Sending End Power (STL) Formula Elements

Variables

Functions

Sending End Phase Angle

Sending End Phase Angle is the difference between the phasors of current and voltage at thee sending end of a short transmission line.

Symbol: Φ_s

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Sending End Phase Angle

Sending End Power

Sending End Power is defined as the power at receiving end of a short transmission line.

Symbol: P_s

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Sending End Power

Sending End Voltage

Sending End Voltage is the voltage at the sending end of a short transmission line.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Sending End Voltage

Sending End Current

Sending End Current is defined as the amount of current injected into a short transmission line from the source or injectors.

Symbol: I_s

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Sending End Current

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

Other Formulas to find Sending End Phase Angle

Go Sending End Angle using Receiving End Parameters (STL)

Φ s = a \cos (\frac{V r \cdot \cos (Φ r) + (I r \cdot R)}{V s})

Other formulas in Power and Phase Difference category

Go Transmitted Current (SC Line)

I t = \frac{V t}{Z 0}

Go Receiving End Angle using Transmission Efficiency (STL)

Φ r = a \cos (η \cdot V s \cdot I s \cdot \frac{\cos (Φ s)}{I r \cdot V r})

Go Receiving End Angle using Losses (STL)

Φ r = a \cos (\frac{(3 \cdot V s \cdot I s \cdot \cos (Φ s)) - P loss}{3 \cdot V r \cdot I r})

Go Receiving End Power (STL)

P r = 3 \cdot V r \cdot I r \cdot \cos (Φ r)

How to Evaluate Sending End Angle using Sending End Power (STL)?

Sending End Angle using Sending End Power (STL) evaluator uses Sending End Phase Angle = acos(Sending End Power/(Sending End Voltage*Sending End Current*3)) to evaluate the Sending End Phase Angle, The Sending End Angle using Sending End Power (STL) is the phase angle of the voltage at the source end relative to the load voltage. In short lines, this angle is typically small due to negligible reactive components, indicating minimal phase shift and efficient power transfer from the source to the load. Sending End Phase Angle is denoted by Φ_s symbol.

How to evaluate Sending End Angle using Sending End Power (STL) using this online evaluator? To use this online evaluator for Sending End Angle using Sending End Power (STL), enter Sending End Power (P_s), Sending End Voltage (V_s) & Sending End Current (I_s) and hit the calculate button.

FAQs on Sending End Angle using Sending End Power (STL)

What is the formula to find Sending End Angle using Sending End Power (STL)?

The formula of Sending End Angle using Sending End Power (STL) is expressed as Sending End Phase Angle = acos(Sending End Power/(Sending End Voltage*Sending End Current*3)). Here is an example- 5019.109 = acos(4136/(400*3.98*3)).

How to calculate Sending End Angle using Sending End Power (STL)?

With Sending End Power (P_s), Sending End Voltage (V_s) & Sending End Current (I_s) we can find Sending End Angle using Sending End Power (STL) using the formula - Sending End Phase Angle = acos(Sending End Power/(Sending End Voltage*Sending End Current*3)). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

What are the other ways to Calculate Sending End Phase Angle?

Here are the different ways to Calculate Sending End Phase Angle-

Sending End Phase Angle=acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage)

Can the Sending End Angle using Sending End Power (STL) be negative?

Yes, the Sending End Angle using Sending End Power (STL), measured in Angle can be negative.

Which unit is used to measure Sending End Angle using Sending End Power (STL)?

Sending End Angle using Sending End Power (STL) is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Sending End Angle using Sending End Power (STL) can be measured.

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Sending End Angle using Sending End Power (STL) Formula

​GoSending End Angle using Receiving End Parameters (STL) Formula

Sending End Angle using Sending End Power (STL) Example

Sending End Angle using Sending End Power (STL) Solution

Sending End Angle using Sending End Power (STL) Formula Elements

Other Formulas to find Sending End Phase Angle

Other formulas in Power and Phase Difference category

How to Evaluate Sending End Angle using Sending End Power (STL)?

FAQs on Sending End Angle using Sending End Power (STL)

Variable Name

GoSending End Angle using Receiving End Parameters (STL) Formula